The Tangency Problem for Circles in Bubble Chart

• Main Authors: LI,HUNG,CHIEH, 李泓頡
• Other Authors: CHIANG,CHING-SHOEI
• Format: Others
• Language: zh-TW
• Published: 2019
• Online Access: http://ndltd.ncl.edu.tw/handle/27zzn8

碩士 === 東吳大學 === 資訊管理學系 === 107 === This study explores the design of bubble charts. The bubble charts we designed has the following three characteristics: The center of the chart has a prominent center circle, the outermost layer of bubble circle ring is surrounded and tangent by a large circle, and from the center circle to the outermost layer is a layer-by-layer expansion by circle rings, or use an algorithm to maintain a specific tangency relationship between the circles. We divide the bubble chart design into two categories. The first categories use specific rules to expand from the inner layer to the outer one. The bubble circle which we find will be symmetric to the center of the center circle. In this categories, in the case of few layers, we derived equation from theorem to find the solution. When expanding to more layers, we use an algorithm to find the result. Because the first categories of bubble chart are very regular, the total number of circles is limited, and the bubble charts for some specific total numbers cannot be generated. For this feature, we develop the second categories of bubble chart, this categories of bubble chart gives the total number of circles first, and then constructs the structure of the bubble diagram which is the number of circles of each layer of the initial design and the tangent structure among circles, and then use the structure to find the radius of each circle, and finally use the radius to draw the graph. Although some features will be destroyed during the process, for example, the center circle may be biased and the layer-by-layer structure may be destroyed, but a large circle is guaranteed to be tangent to the outer circle ring, these tangency property makes the bobble chart better visually.